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yfade101

5. The distance d a train travels varies directly with the amount of time t that has elapsed since departure. If the train travels 475 miles in 9.5 hours, how many miles did the train travel after 4 hours? (1 point)

  • 2 years ago
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  1. Walleye
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    Well all you need to do is think about the function here. The distance is dependent on time so you can think of the function as d(t) = blah. We do know three things about the function 1) it is linear (I'm guessing it is based on question wording) 2) d(9.5) = 475 3) d(0) = 0 With this information you can figure out the slope (or speed) of the train. Recall that the slope of a function is considered the "rate of change" (ie speed) The slope is 475 - 0 / 9.5 - 0 = 50 recall, y1 - y2 / x1 - x2 and we have the points of (9.5, 475) and (0, 0) 50 miles per hour is the speed of your train so d(t) = 50t because every hour, t, the train travels 50 miles. d(4) = 50 * 4 = 200

    • 2 years ago
  2. yfade101
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    Thanks!

    • 2 years ago
  3. Walleye
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    No problem! Let me know if any part of the solution doesn't make sense to you .

    • 2 years ago
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